Refinement of Multiparameters Overrelaxation (RMPOR) Method
In this paper, we present refinement of multiparameters overrelaxation (RMPOR) method which is used to solve the linear system of equations. We investigate its convergence properties for different matrices such as strictly diagonally dominant matrix, symmetric positive definite matrix, and M-matrix....
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/2804698 |
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| _version_ | 1850107168839172096 |
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| author | Gashaye Dessalew Tesfaye Kebede Gurju Awgichew Assaye Walelign |
| author_facet | Gashaye Dessalew Tesfaye Kebede Gurju Awgichew Assaye Walelign |
| author_sort | Gashaye Dessalew |
| collection | DOAJ |
| description | In this paper, we present refinement of multiparameters overrelaxation (RMPOR) method which is used to solve the linear system of equations. We investigate its convergence properties for different matrices such as strictly diagonally dominant matrix, symmetric positive definite matrix, and M-matrix. The proposed method minimizes the number of iterations as compared with the multiparameter overrelaxation method. Its spectral radius is also minimum. To show the efficiency of the proposed method, we prove some theorems and take some numerical examples. |
| format | Article |
| id | doaj-art-4c27cee034e548ec9dc733b062f1d88b |
| institution | OA Journals |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-4c27cee034e548ec9dc733b062f1d88b2025-08-20T02:38:39ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/28046982804698Refinement of Multiparameters Overrelaxation (RMPOR) MethodGashaye Dessalew0Tesfaye Kebede1Gurju Awgichew2Assaye Walelign3Department of Mathematics, Bahir Dar University, Bahir Dar, EthiopiaDepartment of Mathematics, Bahir Dar University, Bahir Dar, EthiopiaDepartment of Mathematics, Bahir Dar University, Bahir Dar, EthiopiaDepartment of Mathematics, Bahir Dar University, Bahir Dar, EthiopiaIn this paper, we present refinement of multiparameters overrelaxation (RMPOR) method which is used to solve the linear system of equations. We investigate its convergence properties for different matrices such as strictly diagonally dominant matrix, symmetric positive definite matrix, and M-matrix. The proposed method minimizes the number of iterations as compared with the multiparameter overrelaxation method. Its spectral radius is also minimum. To show the efficiency of the proposed method, we prove some theorems and take some numerical examples.http://dx.doi.org/10.1155/2021/2804698 |
| spellingShingle | Gashaye Dessalew Tesfaye Kebede Gurju Awgichew Assaye Walelign Refinement of Multiparameters Overrelaxation (RMPOR) Method Journal of Mathematics |
| title | Refinement of Multiparameters Overrelaxation (RMPOR) Method |
| title_full | Refinement of Multiparameters Overrelaxation (RMPOR) Method |
| title_fullStr | Refinement of Multiparameters Overrelaxation (RMPOR) Method |
| title_full_unstemmed | Refinement of Multiparameters Overrelaxation (RMPOR) Method |
| title_short | Refinement of Multiparameters Overrelaxation (RMPOR) Method |
| title_sort | refinement of multiparameters overrelaxation rmpor method |
| url | http://dx.doi.org/10.1155/2021/2804698 |
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